y(2? – y? + 1)dx – æ(a² – 3 – 1)dy = 0 %3D - - -

Q: a. Verify that the indicated family of functions is a solution of the given differential equation.…

A: Given differential Equation is   y"-6y'+9y=0

Q: Consider the differential equation ay“ dæ + 6xydy = 0, with a a real constant. If u(x,y)=xy is an…

A: By multiplying integrating factor, making it exact we have to find value of a

Q: Which of the following function can be used as an integrating factor for the non-exact differential…

A: To find- integrating factor

Q: Solve the separable differential equation dy = e*ye* dx with initial condition y(0) = 1. y = -e-e te…

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Q: 2. Find a function y that satisfies the given differential equation and prescribed initial…

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Q: Which of the following is NOT a separable differential equation? dy A =xy2 dr dy B ) ==x- 2y dx ©…

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Q: 1. Which of the following is an ordinary. linear differential equation of order 2?* da d'r + k?at =…

A: To find Which of the given equations is an ordinary linear differential equation of order 2.

Q: Which of the following is a linear differential equation? a. dy + (ye* – sin x)dx = 0 b. dy + (y In…

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Q: Evaluate the given differential equation 2ydx + x(x*Iny – 1 )dy = 0 A. y(1+x² – x³Iny) = C B. y(1 +…

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Q: Which of the following is the general solution to the differential equation 4xy = -x² – y? dx for x…

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Q: One of the following is a linear differential equation. Which? O a. y' – (senx)y= eY O b. y'+ = 0 y…

A: A linear differential equation is in the form of y'+Py=Q, where P & Q are constants or functions…

Q: What is the Wronskian for the differential equation y"-25y x ? a. W 10 b. W=20 c. W= 25 d. W 5 e.…

A: Given that the differential equation is  y"-25y=x To find the Wronskian of the differential…

Q: II. Find the complete solution of the following differential equations using integrating factor…

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

A: now we have to find the integrating factor of given ODE

Q: Form the differential equation for the function xy = ae2x – be-2x a. xy" – y' = - 4xy O b. xy" – 2y'…

A: The given equation is xy=ae2x-be-2x. Evaluate the differential equation as follows.…

Q: Which of the following function can be used as an integrating factor for the non-exact differential…

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Q: 19. Which of the following integrating factors will make the differential equation 2y(x +y+2)dx +(y²…

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Q: Determine the values of r for which the given differential equation has solutions of the form y = t…

A: Solve using differention and substitution method

Q: Which of the following is/are the dependent variable/s of the differential equation. d³y əx²ət +v.…

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Q: Which of the following is an integrating factor of the differential equation ydx – xdy = 0. %3D a)…

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

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Q: d'x dx +4 +9x 2cos(3t) dt? Given the following differential equation: 3t dt a) What's the order of…

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Q: The function y = A e^(3x) + B x e^(3x) is the primitive of the differential equation y’’ – 6y’ + 9y…

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

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Q: Which of the following is a solution to the differential equation: ydx + (x - 2xy Jay = 0, when x=1;…

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Q: Which of the following is a non-linear differential equation? О а. Згу" (а) — 5у4(2) —D Ina b. y dr…

A: Given 3xd2ydx2-5y4=lnx differential equation

Q: Determine the values of r for which the differential equation y"+9y" + 20y O has solutions of the…

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Q: Given the differential equation (E3): (3x²y + 2xy + y®)dx + (x² + y²)dy = 0. The integrating factor…

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Q: Which of the following is the integration factor of the differential equation (2xy e+ 2xy3 + y)dx +…

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Q: 9. Use the initial condition to find the particular solution of the differential equation. yy' – e*…

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Q: Which of the following function can be used as an integrating factor for the non-exact differential…

A: Given diffrential equation is of the form of first order non exact form so multiplying equation with…

Q: Q4. a) Use the change of variables s=2/a(k/m)e/2 aging spring to show that the differential equation…

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Q: Consider the differential equation dy (3e3*y – 2x)e-3*. dx Which of the following is the value of…

A: There is slight mistake in the question. What is the value of y•e-3x ?

Q: . Select the correct type for the following differential equation x(4y – 1)dx + (x² + 1)dy = 0…

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Q: Find the differential equation that has y = C1 + C2x as its general solution. a) Oxy" – 3y = 0 b) O…

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Q: Which of the following is the integrating factor of the linear differential equation xy' – (x + 2)y…

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Q: 17. The integrating factor to the linear differential equation x(x? +1)y' +2y = (x² +1)³is: x2 x? a.…

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Q: Evaluate the given differential equation y' - may = Cem* where C,m, m,are constant and m, # m2 a. y…

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Q: xdy = y(xe2x + 1)dx Ans: In)? – e2* = c

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Q: dy y= e* , z e 1, is dr I-1 A eーよ B 1 C エ-1 D D I-1

A: In the question it is asked to calculate the value of integrating factor for the differential…

Q: Given the differential equation y' 5ty? + 4, y(0) = 0 Find the corresponding Picard iterates y1 (t)…

A: Picards iterations

Q: 7. Which of the following is a differential equation with homogeneous coefficient? (이) (-Va ² + y?…

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Q: (b) dy Given a first order differential equation -= e²-x² (2x+1) sin x-2xy dx (i) (ii) (iii) Justify…

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Q: Which one of the following is the Exact differential equation ? (æ² + 3xy)dæ + (y³ + a²)dy= 0 O (x²…

A: We have to check

Q: C1. (a) Find the general solution of the following homogenous differential equation xy- y? = (x +…

A: By substitution method y=vx we can sole this.

Q: Vxydy = x?dx Ans: 5yz – 3xZ = c

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Q: Which one of the following is the Exact differential equation ? O (2? + 3ry)dy + (y + a)dr = 0 (22 +…

A: To find the exact differential equation from the following equations

Q: Find the general solution for the following differential equations. Hint: Use separation of…

A: Given: (a)2y3y'+x2=6(b)yy'=8cos(πx)